A lot of rhetoric, but no new facts or insights.
First: "The F4U Corsair did not fly from the Natoma Bay." Correct, you can read that in the book several times from page 99 onwards.
Second: James Leininger did not say he died in a Corsair, just that he flew in a Corsair (page 68 and 72) - as did James M. Huston jr. (page 241, page 5 of photo section)
Third: "Loss records from the ship are very well known and easily obtainable." See the two pages preceding the acknowledgements. Courtesy of this book the loss records of the Natoma Bay have indeed become well known, at least among the readers.
It appears that Sparky, the reviewer, doesn't believe in reincarnation, and is therefore unable to take in the information presented in the book. I'm not defending the book in terms of how it's written, but Sparky has criticized it based upon its contents, without paying attention to what the contents actually are. Sparky is correct that many little boys become "obsessed" with World War II, but James began to speak about his memories before the age when a child might be expected to become "obsessed" with soldiering, wars and so on.
Sometimes our belief systems prevent us from taking in new information, and this appears to be the case with Sparky's review.